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121225536 = 2632210461
BaseRepresentation
bin1110011100111…
…00000101000000
322110002220011200
413032130011000
5222013204121
620010141200
73001254135
oct716340500
9273086150
10121225536
11624795a3
1234721800
131c1659b3
141215858c
15a998a26
hex739c140

121225536 has 42 divisors (see below), whose sum is σ = 347472762. Its totient is φ = 40408320.

The previous prime is 121225523. The next prime is 121225547. The reversal of 121225536 is 635522121.

It is a happy number.

121225536 is a `hidden beast` number, since 1 + 2 + 122 + 5 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89415936 + 31809600 = 9456^2 + 5640^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104655 + ... + 105806.

It is an arithmetic number, because the mean of its divisors is an integer number (8273161).

Almost surely, 2121225536 is an apocalyptic number.

121225536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121225536 is an abundant number, since it is smaller than the sum of its proper divisors (226247226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121225536 is a wasteful number, since it uses less digits than its factorization.

121225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210479 (or 210466 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 121225536 is about 11010.2468637175. The cubic root of 121225536 is about 494.9158595890.

Adding to 121225536 its reverse (635522121), we get a palindrome (756747657).

The spelling of 121225536 in words is "one hundred twenty-one million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 210461 420922 631383 841844 1262766 1683688 1894149 2525532 3367376 3788298 5051064 6734752 7576596 10102128 13469504 15153192 20204256 30306384 40408512 60612768 121225536